{"as_of":"2026-08-16T19:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d04cbafd78458ddd5e314ba4f6c5e63c23757c9f93dee20a2b3c16b445622490","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T12:23:41.446945Z","state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.07586/citation-record","integrity":"/paper/1908.07586/integrity","json":"/paper/1908.07586/citation-record.json","paper":"/paper/1908.07586"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:23:42.305402Z","title":"On ( t, r) broadcast domination numbers of grids","venue":null,"work_id":"72d72a22-42d4-45a7-8d55-6a715febbe21","year":2015},"citing_paper":{"arxiv_id":"1908.07586","last_updated":"2023-02-17T03:10:33Z","snapshot_observed_at":"2026-08-16T03:25:15.655279Z","submitted_at":"2019-08-20T19:49:39Z","title":"Bounds On $(t,r)$ Broadcast Domination of $n$-Dimensional Grids","version":6},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T12:23:40.974825Z"},"links":{"citing_paper":"/paper/1908.07586"},"observation_digest":"sha256:3e458c0099120cb6620be3ff74dcebc9a94a44394e064ab9b2df09be6367a037","observation_id":"970b3367-1656-4cdb-bfaa-13ec481cdc87","resolution":{"observed_at":"2026-08-14T12:23:42.341427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:23:42.112504Z","title":"Har tnell, Michael A","venue":null,"work_id":"8bd397de-ff9f-4f69-99a3-95c8c4973f23","year":2012},"citing_paper":{"arxiv_id":"1908.07586","last_updated":"2023-02-17T03:10:33Z","snapshot_observed_at":"2026-08-16T03:25:15.655279Z","submitted_at":"2019-08-20T19:49:39Z","title":"Bounds On $(t,r)$ Broadcast Domination of $n$-Dimensional Grids","version":6},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T12:23:41.079770Z"},"links":{"citing_paper":"/paper/1908.07586"},"observation_digest":"sha256:dd872de65b23c4d8da2f62155cede021bf31637eb0cd8fd73d94b23b5ba265d5","observation_id":"67e2eabd-1555-4fa5-9e64-89693d8e3822","resolution":{"observed_at":"2026-08-14T12:23:42.180192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:23:42.063494Z","title":"Drews, Pamela E","venue":null,"work_id":"74e1db5a-b095-4992-9cca-42b90ffec537","year":2019},"citing_paper":{"arxiv_id":"1908.07586","last_updated":"2023-02-17T03:10:33Z","snapshot_observed_at":"2026-08-16T03:25:15.655279Z","submitted_at":"2019-08-20T19:49:39Z","title":"Bounds On $(t,r)$ Broadcast Domination of $n$-Dimensional Grids","version":6},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T12:23:41.108460Z"},"links":{"citing_paper":"/paper/1908.07586"},"observation_digest":"sha256:3f0d20d75678a320bd517585e9186e7a7e9404e822bff48e8ff22459863d156c","observation_id":"d9bf4953-42f6-49b7-8de7-19f13a454e28","resolution":{"observed_at":"2026-08-14T12:23:42.071261Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:23:42.039923Z","title":"New upper bounds on the dista nce domination numbers of grids","venue":null,"work_id":"d3e52b74-906d-44be-91c8-e27cb2442c0d","year":2016},"citing_paper":{"arxiv_id":"1908.07586","last_updated":"2023-02-17T03:10:33Z","snapshot_observed_at":"2026-08-16T03:25:15.655279Z","submitted_at":"2019-08-20T19:49:39Z","title":"Bounds On $(t,r)$ Broadcast Domination of $n$-Dimensional Grids","version":6},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T12:23:41.123560Z"},"links":{"citing_paper":"/paper/1908.07586"},"observation_digest":"sha256:cc65c59b9b1e1f09050b777b59d0dc27d1bbd4eedcfe05ba09edf52b71729e69","observation_id":"5529cd92-03d9-4eb4-b431-59484856a043","resolution":{"observed_at":"2026-08-14T12:23:42.047132Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:23:41.916710Z","title":"Haynes, Stephen T","venue":null,"work_id":"7b13b603-2874-4c8a-ab82-9daa75a4b5bc","year":1998},"citing_paper":{"arxiv_id":"1908.07586","last_updated":"2023-02-17T03:10:33Z","snapshot_observed_at":"2026-08-16T03:25:15.655279Z","submitted_at":"2019-08-20T19:49:39Z","title":"Bounds On $(t,r)$ Broadcast Domination of $n$-Dimensional Grids","version":6},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T12:23:41.137332Z"},"links":{"citing_paper":"/paper/1908.07586"},"observation_digest":"sha256:d890dbc0b2c2f45205bb44b6d9106f9631af871772a42e7bd53f025850166cf9","observation_id":"1f376dee-b250-4018-992a-49aa4d52f2c2","resolution":{"observed_at":"2026-08-14T12:23:42.019415Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:23:41.743638Z","title":null,"venue":null,"work_id":"a7918975-0b7c-4b0d-8715-4441378be499","year":1968},"citing_paper":{"arxiv_id":"1908.07586","last_updated":"2023-02-17T03:10:33Z","snapshot_observed_at":"2026-08-16T03:25:15.655279Z","submitted_at":"2019-08-20T19:49:39Z","title":"Bounds On $(t,r)$ Broadcast Domination of $n$-Dimensional Grids","version":6},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T12:23:41.289999Z"},"links":{"citing_paper":"/paper/1908.07586"},"observation_digest":"sha256:eca9d1a3f906c333fc4a10f94e20a86c13a28be840cab03d054aa8172e25c50c","observation_id":"342f3d51-f1aa-4722-bc03-8115283e97de","resolution":{"observed_at":"2026-08-14T12:23:41.764070Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:23:41.507825Z","title":null,"venue":null,"work_id":"8824b832-0570-4d6c-980a-a4b77f210b8e","year":2017},"citing_paper":{"arxiv_id":"1908.07586","last_updated":"2023-02-17T03:10:33Z","snapshot_observed_at":"2026-08-16T03:25:15.655279Z","submitted_at":"2019-08-20T19:49:39Z","title":"Bounds On $(t,r)$ Broadcast Domination of $n$-Dimensional Grids","version":6},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T12:23:41.446945Z"},"links":{"citing_paper":"/paper/1908.07586"},"observation_digest":"sha256:73e0c3efbcbda7e7314f65a94be99bc224211df6b19c69e60c8d91a086dc65fc","observation_id":"ae302569-7f80-4c41-9926-54f9ac7aaf6e","resolution":{"observed_at":"2026-08-14T12:23:41.642210Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.07586","last_updated":"2023-02-17T03:10:33Z","latest_version":6,"primary_category":"math.CO","snapshot_observed_at":"2026-08-16T03:25:15.655279Z","submitted_at":"2019-08-20T19:49:39Z","title":"Bounds On $(t,r)$ Broadcast Domination of $n$-Dimensional Grids"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":5},"total_outbound_references":7},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:1908.07586."}